JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (1): 33-40.doi: 10.6040/j.issn.1671-9352.4.2019.121

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Algebraic structures of generalized Pythagorean fuzzy soft set

ZHANG Hai-dong1,2*, Jia-hua Duojie2, HE Yan-ping3   

  1. Northwest Minzu University 1. Key Laboratory of Chinas Ethnic Languages and Information Technology of Ministry of Education;
    2. School of Mathematics and Computer Science;
    3. School of Electrical Engineering, Lanzhou 730030, Gansu, China
  • Published:2020-01-10

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Abstract: The Pythagorean fuzzy soft set theory is generalized and the concept of the generalized Pythagorean fuzzy soft set is introduced. In order to establish the theoretical basis for the generalized Pythagorean fuzzy soft set, we define some operation operators of the model, and discuss its lattice structures. First, three lattice structures of the generalized Pythagorean fuzzy soft set are constructed. Then it is also proved that the three lattice structures are soft algebraic structures. Finally, we explore three complemented distributive lattices which are also called Boolean lattices.

Key words: generalized Pythagorean fuzzy soft set, operator, soft algebra, Boolean lattice

CLC Number: 

  • O153.1
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